461922900 has 72 divisors (see below), whose sum is σ = 1346372160. Its totient is φ = 122269440.

The previous prime is 461922883. The next prime is 461922913. The reversal of 461922900 is 9229164.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35481 + ... + 46719.

Almost surely, 2^461922900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461922900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673186080).

461922900 is an abundant number, since it is smaller than the sum of its proper divisors (884449260).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

461922900 is a wasteful number, since it uses less digits than its factorization.

461922900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11393 (or 11386 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 461922900 is about 21492.3916770563. The cubic root of 461922900 is about 773.0183992269.

The spelling of 461922900 in words is "four hundred sixty-one million, nine hundred twenty-two thousand, nine hundred".